Question

What’s the answer to this?

Answer 1

Explanation:

Line is passing through the points:

`(-2,\:3)=(x_1,\:y_1) \:\&\: (2,\:5)=(x_2 ,\:y_2)`

Equation of line in two point form is given as:

`(y -y_1 )/(y_1 -y_2 ) = (x -x_1 )/(x_1 -x_2 ) \\ \\ \therefore (y -3)/( 3 -5) = (x -(-2) )/(-2 -2) \\ \\ \therefore (y -3)/( - 2) = (x -(-2) )/(-4) \\ \\ \therefore (y - 3)/(1) = (x +2)/(2) \\ \\ \therefore \: y-3= (x)/(2) + (2)/(2) \\ \\</p><p>\therefore \: y= (x)/(2) + 1 +3\\ \\</p><p></p><p> \huge \red{ \boxed{\therefore \: y= (1)/(2) \:x+ 4}}\\ is \: the \: required \: equation \: of \: line.`